Cyclic Cohomology of Crossed Coproduct Coalgebras

نویسندگان

  • R. Akbarpour
  • M. Khalkhali
چکیده

We extend our work in [1] to the case of Hopf comodule coalgebras. We introduce the cocylindrical module C♮H, where H is a Hopf algebra with bijective antipode and C is a Hopf comodule coalgebra over H. We show that there exists an isomorphism between the cocyclic module of the crossed coproduct coalgebra C>◭H and ∆(C♮H), the cocyclic module related to the diagonal of C♮H. We approximate HC(C >◭H) by a spectral sequence and we give an interpretation for E0,E1 and E2 terms of this spectral sequence.

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تاریخ انتشار 2008